--The relationship between the two-individual current control and the vector space decomposition (VSD) control for a dual three-phase permanent magnet synchronous machine (PMSM) is investigated in this paper. It is found that the VSD control is more flexible on controlling the fundamental current in sub-plane and the fifth, seventh current harmonics in z 1 z 2 sub-plane with different PI gains, while the two-individual current control is comparable to the VSD control in having the same PI gains in the and z 1 z 2 subplanes. It is also found that the two-individual current control may have potential instability issues due to the mutual coupling between the two sets of three-phase windings. If the mutual coupling between the two sets is weak to some extent, then the two-individual current control could have the same dynamic performance as the VSD control without the stability issues. Experiments are conducted on a prototype dual three-phase PMSM to validate the theoretical analysis.Index Terms--double d-q synchronous frame current control, double-star motor, dual three-phase, instability, two-individual current control, VSD control.